DSamala toolbox software for analysing and simulating discrete, continuous, stochastic dynamic systems
Software DSamala Toolbox para el análisis y la simulación de sistemas dinámicos discretos, continuos y estocásticos
Keywords:
dynamic system, ordinary differential equation, difference equation, stochastic differential equation, numerical method, simulation, software (en)sistemas dinámicos, ecuaciones diferenciales ordinarias, ecuaciones en diferencia, ecuaciones diferenciales estocásticas, métodos numéricos, simulación, software (es)
This article describes DSamala toolbox, a computational tool for simulating and analysing discrete, continuous, stochastic dynamic systems; It is presented as a MATLAB toolbox. DSamala toolbox makes a significant contribution to studying dynamic systems through the use of information and communication technology (ICT), especially when equations modelling these systems are difficult or impossible to solve analytically.
En este artículo se describe una herramienta computacional para la simulación y el análisis de sistemas dinámicos discretos, continuos y estocásticos. Esta herramienta, denominada DSamala Toolbox, se presenta como un Toolbox de Matlab. DSamala Toolbox constituye un aporte significativo para el estudio de sistemas dinámicos mediante el uso de las tecnologías de la información y las comunicaciones (TIC), especialmente cuando las ecuaciones que los modelan son difíciles o imposibles de resolver analíticamente.
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References
Arrowsmith, D.K., Place, C.M., Introduction to dynamical systems, Cambridge University Press, Cambridge, 1994.
Aubin, D., Dalmedico, A.D., Writing the history of dynamical systems and chaos: longue durée and revolution, disciplines and cultures, Historia Mathematica, 29, 2002, pp. 1-67.
Brauer, F., Castillo-Chávez, C., Mathematical models in population biology and epidemiology, Texts in Applied Mathematics, 40, Springer, New York, 2001.
Brin, M., Stuck, G., Introduction to dynamical systems, Cambridge University Press, USA, 2003.
Campos, D., Isaza, J.F., Prolegómenos a los sistemas dinámicos, Universidad Nacional de Colombia, Bogotá, 2002.
Cellier, F.E., Kofman, E., Continuous systems simulation, Springer, New York, EEUU, 2006.
Domínguez, E., Ardilla, F., Bustamante, S., System-Solver: Una herramienta de código abierto para la modelación de sistemas
Govaerts W., Kuznetsov Y., MatCont. [Online]. [Access date: May 12th 2010]. Available at: http://www.matcont.ugent.be/
Glick, J., Kocak, H., Phaser. [Online]. [Access date: April 10th 2010]. Available at: http://www.phaser.com/
Govorukhin, V.N, MATDS. [Online]. [Access date: April 18, 2010]. Available at: http://www.math.rsu.ru/mexmat/kvm/matds/
Higham, D.J., An algorithmic introduction to numerical simulation of stochastic differential equations, SIAM Review, Vol. 43, No.3, 2001, pp. 525-546.
Holmgren, R.A., First course in discrete dynamical systems, Springer-Verlag, New York, EEUU, 1996.
Honerkamp, J., Stochastic dynamical systems concepts, numerical methods, data analysis, Wiley, 1994.
Kuznetsov, Y.A. Elements of applied bifurcation theory (3rd Edition). Appl. Math. Sci., 112. Springer-Verlag, New York, 2004.
Lorenz, E.N., Deterministic nonperiodic flow, Journal of the Atmospheric Sciences, 20, 1963, pp. 130-141.
Mandelbrot, B.B., Fractals and chaos: the mandelbrot set and beyond, Springer-Verlag, New York, 2004.
Mathews, J., Fink, K., Numerical methods using MATLAB, Third Edition, Prentice Hall, 1999.
Palmer, S.R., Felsing, J. M., A Practical guide to feature-driven development, Prentice Hall, Estados Unidos, 2002.
Perko, L. Differential equations and dynamical systems, Springer, Berlin, 1991.
Polking, J., Arnold D. pplane and dfield. [Online]. [Access date: March 21, 2010]. Available in: http://math.rice.edu/~dfield/dfpp.html
Ramasubramanian, K., Sriram, M.S., A comparative study of computation of Lyapunov spectra with different algorithms, Journal of Physica D., Vol 139, 2000, pp 72-86.
Strogatz, S.H., Nonlinear dynamics and chaos, with applications to physics, biology, chemistry and engineering, Perseus Books, New York, 1994.
Tovar, A. Herramienta para la detección de bifurcaciones locales en sistemas dinámicos no lineales, M. Sc thesis, Universidad Nacional de Colombia, Bogotá, 2000.
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Copyright (c) 2012 Angelica María Atehortúa Labrador, Lilia Mercedes Ladino Martínez, Jose Carlos Valverde Fajardo

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